Pith Number

pith:5QDF2FJ2

pith:2014:5QDF2FJ26JCAIQQOGSPIOEMCW2

not attested not anchored not stored refs pending

The Statistics of Vacuum Geometry

Da Zhou, Melissa Duncan, Wei Gu, Yang-Hui He

arxiv:1402.3162 v3 · 2014-02-13 · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QDF2FJ26JCAIQQOGSPIOEMCW2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:49:11.940799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec065d153af24404420e349e871182b6a2540d148a9b8ab6b70121f6015594e7

Aliases

arxiv: 1402.3162 · arxiv_version: 1402.3162v3 · doi: 10.48550/arxiv.1402.3162 · pith_short_12: 5QDF2FJ26JCA · pith_short_16: 5QDF2FJ26JCAIQQO · pith_short_8: 5QDF2FJ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5QDF2FJ26JCAIQQOGSPIOEMCW2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ec065d153af24404420e349e871182b6a2540d148a9b8ab6b70121f6015594e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5ef74ecbf382a5f95789ebaa194a0d53631672db5e2752ea8bc2eca5aced938",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-02-13T14:54:56Z",
    "title_canon_sha256": "9d056b3c71125d1017f18a7504034608c57f49e31f948d03809c376278b597b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3162",
    "kind": "arxiv",
    "version": 3
  }
}